Evaluate
\frac{130}{3}\approx 43.333333333
Factor
\frac{2 \cdot 5 \cdot 13}{3} = 43\frac{1}{3} = 43.333333333333336
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\begin{array}{l}\phantom{60)}\phantom{1}\\60\overline{)2600}\\\end{array}
Use the 1^{st} digit 2 from dividend 2600
\begin{array}{l}\phantom{60)}0\phantom{2}\\60\overline{)2600}\\\end{array}
Since 2 is less than 60, use the next digit 6 from dividend 2600 and add 0 to the quotient
\begin{array}{l}\phantom{60)}0\phantom{3}\\60\overline{)2600}\\\end{array}
Use the 2^{nd} digit 6 from dividend 2600
\begin{array}{l}\phantom{60)}00\phantom{4}\\60\overline{)2600}\\\end{array}
Since 26 is less than 60, use the next digit 0 from dividend 2600 and add 0 to the quotient
\begin{array}{l}\phantom{60)}00\phantom{5}\\60\overline{)2600}\\\end{array}
Use the 3^{rd} digit 0 from dividend 2600
\begin{array}{l}\phantom{60)}004\phantom{6}\\60\overline{)2600}\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}20\\\end{array}
Find closest multiple of 60 to 260. We see that 4 \times 60 = 240 is the nearest. Now subtract 240 from 260 to get reminder 20. Add 4 to quotient.
\begin{array}{l}\phantom{60)}004\phantom{7}\\60\overline{)2600}\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}200\\\end{array}
Use the 4^{th} digit 0 from dividend 2600
\begin{array}{l}\phantom{60)}0043\phantom{8}\\60\overline{)2600}\\\phantom{60)}\underline{\phantom{}240\phantom{9}}\\\phantom{60)9}200\\\phantom{60)}\underline{\phantom{9}180\phantom{}}\\\phantom{60)99}20\\\end{array}
Find closest multiple of 60 to 200. We see that 3 \times 60 = 180 is the nearest. Now subtract 180 from 200 to get reminder 20. Add 3 to quotient.
\text{Quotient: }43 \text{Reminder: }20
Since 20 is less than 60, stop the division. The reminder is 20. The topmost line 0043 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 43.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}